Cremona's table of elliptic curves

1640 = 2³ · 5 · 41

Class	r	Atkin-Lehner	Eigenvalues
1640a (2 curves)	0	2+ 5- 41+	2+  0 5-  2  4  4  2 -8
Curve Equation t 1640a1 [0,0,0,-22907,1334406] 2 1640a2 [0,0,0,-21907,1456206] 2
1640b (2 curves)	0	2+ 5- 41+	2+  2 5-  2 -4  4  4  4
Curve Equation t 1640b1 [0,-1,0,-15,20] 2 1640b2 [0,-1,0,-220,1332] 2
1640c (2 curves)	0	2+ 5- 41+	2+  2 5-  4  6 -4 -6  6
Curve Equation t 1640c1 [0,-1,0,-80,-100] 2 1640c2 [0,-1,0,-1080,-13300] 2
1640d (2 curves)	1	2+ 5- 41-	2+  0 5-  2 -2 -2 -4 -2
Curve Equation t Generators 1640d1 [0,0,0,-31307,-1717706] 2 [663:16400:1] 1640d2 [0,0,0,-156307,22257294] 2 [438:6150:1]
1640e (2 curves)	1	2- 5- 41+	2- -2 5-  2  0  0 -4 -8
Curve Equation t Generators 1640e1 [0,1,0,-20,-32] 2 [-2:2:1] 1640e2 [0,1,0,-120,448] 2 [8:8:1]
1640f (2 curves)	1	2- 5- 41+	2- -2 5- -2  0  0  8  0
Curve Equation t Generators 1640f1 [0,1,0,-55,-150] 2 [-5:5:1] 1640f2 [0,1,0,-260,1408] 2 [-14:50:1]
1640g (4 curves)	0	2- 5- 41-	2-  0 5-  0  4  6 -2  4
Curve Equation t 1640g1 [0,0,0,-47,-14] 4 1640g2 [0,0,0,-547,-4914] 4 1640g3 [0,0,0,-8747,-314874] 2 1640g4 [0,0,0,-347,-8554] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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